Prime p₀= 2107681011266788157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 106 2 28 2 46 2 10 2 10 2 (?)
a_n: 0 2 114 116 222 224 252 254 300 302 312 314 324 326
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 326
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 112 106 28 46 10 10

SPT(16)	2107679438309913161	0 12 42 56 72 110 176 212 246 282 348 386 402 416 446 458	-1572956874996
TPT(14)	2107679735273001509	0 2 48 50 102 104 138 140 168 170 240 242 312 314	-1275993786648
SPT(16)	2107679763963774787	0 12 40 54 66 90 120 156 160 196 226 250 262 276 304 316	-1247303013370
SPT(16)	2107680249998912189	0 2 24 42 68 80 84 102 110 128 132 144 170 188 210 212	-761267875968
SPT(18)	2107680421737830773	0 4 30 60 64 66 94 124 166 168 210 240 268 270 274 304 330 334	-589528957384
SPT(16)	2107680719981473363	0 28 100 130 150 168 174 214 240 280 286 304 324 354 426 454	-291285314794
SPT(16)	2107681119966222473	0 140 150 156 158 170 176 200 204 228 234 246 248 254 264 404	108699434316
SPT(16)	2107681328301294947	0 6 60 66 110 144 210 224 276 290 356 390 434 440 494 500	317034506790
SPT(16)	2107681486511680883	0 18 96 114 140 168 180 200 234 254 266 294 320 338 416 434	475244892726
STPT(10)	2107681630325587829	0 2 42 44 60 62 78 80 120 122	619058799672
STPT(10)	2107681717452392759	0 2 18 20 30 32 42 44 60 62	706185604602